Question

Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were:Aptitude Score012345Frequency 042375The median aptitude score: ____________________

Answer 1

$Md=4$

1) Let's set a table for that to better visualize what's in the question:

Based on that table, we can list the scores as:

1 1 1 1 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5

Therefore, there are 24 scores.

2) Since 24 is an even number let's find the average of the 12th and 13th data points:

$Md=\frac{4+4}{2}=4$

Thus, the median (middle number) is 4